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The Fourier series representation, FS(t), of a function f(t), where f(t + 10) = f(t) is given by FS(t) = a = 1.25 an= a 2 + an cos b₁ = In this particular case the Fourier series coeffcients are given by ant 2(-1)" TUR + b₂ sin nat 5 4(1-2(-1)") 72²7² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(2.5) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS (2.5) correct to 3 decimal places:

The Fourier series representation, FS(t), of a function f(t), where f(t + 10) = f(t) is given by FS(t) = a = 1.25 an= a 2 + an cos b₁ = In this particular case the Fourier series coeffcients are given by ant 2(-1)" TUR + b₂ sin nat 5 4(1-2(-1)") 72²7² Compute the Fourier series coefficients for n = 1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS,(2.5) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter b₂ correct to 4 decimal places: Enter by correct to 4 decimal places: Enter FS (2.5) correct to 3 decimal places:

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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The Fourier series representation, FS(t), of a function f(t), where f(t + 10) = f(t) is given by FS(t) = 2 + Σª, cos (757) + an 71 a0 = 1.25 In this particular case the Fourier series coeffcients are given by an= b₁ 2(-1) (15²) 4(1-2(-1)") 7²π² + b, sin Compute the Fourier series coefficients for n=1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS, (2.5) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter by correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS (2.5) correct to 3 decimal places:
Transcribed Image Text:The Fourier series representation, FS(t), of a function f(t), where f(t + 10) = f(t) is given by FS(t) = 2 + Σª, cos (757) + an 71 a0 = 1.25 In this particular case the Fourier series coeffcients are given by an= b₁ 2(-1) (15²) 4(1-2(-1)") 7²π² + b, sin Compute the Fourier series coefficients for n=1,2,3 correct to 4 decimal places and hence, using these entered values, compute FS, (2.5) correct to 3 decimal places. Enter the values in the boxes below. Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter a correct to 4 decimal places: Enter b, correct to 4 decimal places: Enter by correct to 4 decimal places: Enter b3 correct to 4 decimal places: Enter FS (2.5) correct to 3 decimal places:
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